How to find factors of 40? | Learnmaths
How to find factors of 40? | Learnmaths

factor of 42

Factors of 42

Factors of 42 are all the numbers that are divisible into 42 without any remainders. These factors are whole numbers and can be both positive and negative. In this page, we will learn how to find out all the factors of 42, including prime factors of 42.

The answer of :

  • Factors of 42 are : 1, 2, 3, 6, 7, 14, 21, 42
  • Prime Factors of 42 : 42 = 2 × 3 × 7

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Table of Contents :

Pair Factors of 42

In order to get the pair factors, we need to find two numbers multiplied together can get 42.

Multiplication

1 x 42

2 x 21

3 x 14

6 x 7

Positive pair
factors of 42

(1, 42)

(2, 21)

(3, 14)

(6, 7)

Negative pair
factors of 42

(-1, -42)

(-2, -21)

(-3, -14)

(-6, -7)

Prime Factors of 42

To obtin the prime factors of 42, you need to find the factors of 42 and divide them out.

  • 42 divided by 2 is 21
  • Then if you keep dividing 21
  • You get the final breakdown of the 42 = 2 × 3 × 7

Alternately, we can organize all the prime factors of 42 using a tree diagram:

diagram-of-42

To list out all the prime factors : 42 = 2 × 3 × 7

To find out more factors:

How to Calculate the Factors of 42

Factors must be the whole numbers, which means fractions like 5.6 is not considered as a factor. We use the integers to divide 42, if there is no remainder, then the integers you use are the factors of 42. We can always dividing 42 by 1 to get started, then move to different integers.

42/1 = 42 (Factor = 1 and remainder = 0)

42/2 = 21 (Factor = 2 and remainder = 0)

42/3 = 14 (Factor = 3 and remainder = 0)

42/6 = 7 (Factor = 6 and remainder = 0)

Note:

If we divide 56 by numbers other than 1, 2, 4, 7, 8, 14, 28 and 56, there must be a remainder. Let us try 3,

note

2 is the remainder, then 3 is not the factors of 56

Examples

1. Find the common factors of 23 and 56

Answer:

The factors of 23 are: 1,23. (23 is a prime number)

The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56

example1

Thus, common factor of 23 and 56 is 1.

2. Find the common factors of 52 and 56

Answer:

The factors of 52 are: 1, 2, 4, 13, 26, and 52.

The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56

example2

Thus, common factosr of 52 and 56 are: 1, 2, 4

3. Find the common factors of 33 and 56

Answer:

The factors of 33 are: 1, 3, 11 and 33.

The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56

example3

Thus, common factor of 23 and 56 is 1.

FAQ – Factor of 56

What are the multiples of 56?

1×56=52, 2×56=112, 3×56=168, 4×56=224, 5×56=280…

Is 56 prime or composite?

Composite number, because 56 can be divided evenly by 1 and 56, (2, 28), (4, 14), (7, 8) are also the pairs of factors of 56

How many prime factors are there in 56?

The prime factors of 56 = 2x2x2x7, which means there are 2 prime factors in 56, they are 2 and 7.

What is the perfect number?

The perfect number is a positive integar that equal to the sum of its proper divisors.( not include itself) For example, 6 is the smallest perfect number, the factors of 6 are: 1,2,3,6. 6=1+2+3

Do numbers end?

No, numbers are infinite and never end.

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